34285480320 has 1152 divisors, whose sum is σ = 146932803360. Its totient is φ = 6738149376.

The previous prime is 34285480267. The next prime is 34285480331. The reversal of 34285480320 is 2308458243.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 353458512 + ... + 353458608.

Almost surely, 2^34285480320 is an apocalyptic number.

34285480320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34285480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73466401680).

34285480320 is an abundant number, since it is smaller than the sum of its proper divisors (112647323040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34285480320 is a wasteful number, since it uses less digits than its factorization.

34285480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

It can be divided in two parts, 34285 and 480320, that added together give a triangular number (514605 = T₁₀₁₄).

The spelling of 34285480320 in words is "thirty-four billion, two hundred eighty-five million, four hundred eighty thousand, three hundred twenty".